Let-x-y-z-be-pairwise-distinct-real-numbers-if-x-y-7-z-x-y-24-y-z-7-x-y-z-24-z-x-7-y-z-x-24-Find-x-2-y-2-

Question Number 128204 by I want to learn more last updated on 05/Jan/21

Let x, y, z be pairwise distinct real numbers, if

(x + y - 7) [z (x + y) + 24] = (y + z - 7) [x (y + z) + 24] = (z + x - 7) [y (z + x) + 24]

Find x^{2} + y^{2} + z^{2}